{"id":12451,"date":"2023-01-26T16:51:50","date_gmt":"2023-01-26T07:51:50","guid":{"rendered":"https:\/\/hatsudy.com\/jp\/?p=12451"},"modified":"2023-02-06T08:53:27","modified_gmt":"2023-02-05T23:53:27","slug":"parabola-3","status":"publish","type":"post","link":"https:\/\/hatsudy.com\/jp\/parabola-3.html","title":{"rendered":"\u4e8c\u6b21\u66f2\u7dda\u306e\u63a5\u7dda\uff1a\u516c\u5f0f\u30fb\u65b9\u7a0b\u5f0f\u306e\u8a3c\u660e\u3068\u8a08\u7b97\u554f\u984c"},"content":{"rendered":"\n<p>\u66f2\u7dda\u3092\u53d6\u308a\u6271\u3046\u3068\u304d\u3001\u63a5\u7dda\u3092\u5229\u7528\u3059\u308b\u30b1\u30fc\u30b9\u306f\u591a\u3044\u3067\u3059\u3002\u4e8c\u6b21\u66f2\u7dda\uff08\u653e\u7269\u7dda\u3001\u6955\u5186\u3001\u53cc\u66f2\u7dda\uff09\u306b\u3064\u3044\u3066\u3082\u3001\u63a5\u7dda\u3092\u5f97\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u8a08\u7b97\u554f\u984c\u3092\u89e3\u3051\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u306a\u304a\u4e8c\u6b21\u66f2\u7dda\u306e\u63a5\u7dda\u3092\u5b66\u3076\u3068\u304d\u3001\u516c\u5f0f\u3092\u6697\u8a18\u3059\u308b\u3060\u3051\u3067\u306f\u4e0d\u5341\u5206\u3067\u3042\u308a\u3001\u516c\u5f0f\u306e\u8a3c\u660e\u3092\u884c\u3048\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3057\u3087\u3046\u3002\u6570\u5b66\u306e\u554f\u984c\u3067\u306f\u3001\u63a5\u7dda\u306e\u516c\u5f0f\u306e\u8a3c\u660e\u3092\u554f\u308f\u308c\u308b\u30b1\u30fc\u30b9\u304c\u3042\u308b\u304b\u3089\u3067\u3059\u3002<\/p>\n<p>\u307e\u305f\u516c\u5f0f\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u306b\u3088\u308a\u3001\u8a08\u7b97\u554f\u984c\u3092\u89e3\u3051\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3057\u3087\u3046\u3002\u305f\u3060\u4e8c\u6b21\u95a2\u6570\u3084\u5186\u3092\u5229\u7528\u3057\u3066\u63a5\u7dda\u306e\u554f\u984c\u3092\u89e3\u3051\u308b\u306e\u3067\u3042\u308c\u3070\u3001\u4e8c\u6b21\u66f2\u7dda\u306b\u95a2\u3059\u308b\u63a5\u7dda\u306e\u554f\u984c\u3082\u89e3\u3051\u307e\u3059\u3002\u8a08\u7b97\u3059\u308b\u3068\u304d\u306e\u8003\u3048\u65b9\u306f\u540c\u3058\u3060\u304b\u3089\u3067\u3059\u3002<\/p>\n<p>\u305d\u308c\u3067\u306f\u3001\u3069\u306e\u3088\u3046\u306b\u4e8c\u6b21\u66f2\u7dda\u306e\u63a5\u7dda\u306e\u516c\u5f0f\u3092\u5c0e\u51fa\u3059\u308c\u3070\u3044\u3044\u306e\u3067\u3057\u3087\u3046\u304b\u3002\u307e\u305f\u3001\u63a5\u7dda\u3092\u5f97\u308b\u516c\u5f0f\u3092\u5229\u7528\u3057\u3066\u3069\u306e\u3088\u3046\u306b\u8a08\u7b97\u554f\u984c\u3092\u89e3\u3051\u3070\u3044\u3044\u306e\u3067\u3057\u3087\u3046\u304b\u3002\u653e\u7269\u7dda\u3084\u6955\u5186\u3001\u53cc\u66f2\u7dda\u3067\u63a5\u7dda\u3092\u7528\u3044\u308b\u8a08\u7b97\u65b9\u6cd5\u3092\u89e3\u8aac\u3057\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n<h2>\u653e\u7269\u7dda\u3001\u6955\u5186\u3001\u53cc\u66f2\u7dda\u306e\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u306f\u4f3c\u3066\u3044\u308b<\/h2>\n<p>\u4e8c\u6b21\u66f2\u7dda\u306e\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u5b66\u3076\u3068\u304d\u3001\u3059\u3079\u3066\u306e\u516c\u5f0f\u3092\u899a\u3048\u308b\u5fc5\u8981\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u3053\u308c\u3089\u306e\u65b9\u7a0b\u5f0f\u306f\u4f3c\u3066\u3044\u308b\u304b\u3089\u3067\u3059\u3002<\/p>\n<p>\u5177\u4f53\u7684\u306b\u306f\u3001\u653e\u7269\u7dda\u306e\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u306f\u899a\u3048\u308b\u5fc5\u8981\u304c\u3042\u308b\u3082\u306e\u306e\u3001\u6955\u5186\u3068\u53cc\u66f2\u7dda\u306e\u65b9\u7a0b\u5f0f\u306f\u899a\u3048\u306a\u304f\u3066\u3082\u3044\u3044\u3067\u3059\u3002\u6955\u5186\u3068\u53cc\u66f2\u7dda\u306e\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u306f\u5186\u306e\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u3068\u307b\u307c\u540c\u3058\u3060\u304b\u3089\u3067\u3059\u3002\u63a5\u70b9\u3092\\((x_1,y_1)\\)\u3068\u3059\u308b\u3068\u3001\u305d\u308c\u305e\u308c\u306e\u63a5\u7dda\u306e\u516c\u5f0f\u306f\u4ee5\u4e0b\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>\u653e\u7269\u7dda\uff1a\\(y_1y=2p(x+x_1)\\)<\/li>\n<li>\u6955\u5186\uff1a\\(\\displaystyle\\frac{x_1x}{a^2}+\\displaystyle\\frac{y_1y}{b^2}=1\\)<\/li>\n<li>\u53cc\u66f2\u7dda\uff1a\\(\\displaystyle\\frac{x_1x}{a^2}-\\displaystyle\\frac{y_1y}{b^2}=1\\)\u3001\u307e\u305f\u306f\\(\\displaystyle\\frac{x_1x}{a^2}-\\displaystyle\\frac{y_1y}{b^2}=-1\\)<\/li>\n<\/ul>\n<p>\u305f\u3060\u3001\u3053\u308c\u3089\u306e\u516c\u5f0f\u3092\u8a3c\u660e\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u3089\u306a\u3051\u308c\u3070\u3044\u3051\u307e\u305b\u3093\u3002\u305d\u3053\u3067\u3001\u3069\u306e\u3088\u3046\u306b\u8a3c\u660e\u3059\u308c\u3070\u3044\u3044\u306e\u304b\u5b66\u3073\u307e\u3057\u3087\u3046\u3002<\/p>\n<h3>\u653e\u7269\u7dda\u306e\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u306e\u8a3c\u660e\uff1a\u50be\u304d\u3092\u5229\u7528<\/h3>\n<p>\u307e\u305a\u3001\u653e\u7269\u7dda\u306e\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u8a3c\u660e\u3057\u307e\u3057\u3087\u3046\u3002\u63a5\u70b9\u3092\\((x_1,y_1)\\)\u3001\u76f4\u7dda\u306e\u50be\u304d\u3092\\(m\\)\u3068\u3059\u308b\u3068\u3001\u76f4\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\\(y=m(x-x_1)+y_1\\)\u3068\u8868\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u307e\u305f\u653e\u7269\u7dda\u306e\u65b9\u7a0b\u5f0f\u306f\\(y^2=4px\\)\u3067\u3042\u308b\u305f\u3081\u3001\u3053\u306e\u5f0f\u306b\u4ee3\u5165\u3057\u3066\u6574\u7406\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(y^2=4px\\)<\/p>\n<p>\\(\\{m(x-x_1)+y_1\\}^2=4px\\)<\/p>\n<p>\\(m^2(x-x_1)^2+2m(x-x_1)y_1\\)\\(+y_1^2\\)\\(=4px\\)<\/p>\n<p>\\(m^2x^2-2m^2x_1x+m^2x_1^2\\)\\(+2mxy_1-2mx_1y_1\\)\\(+y_1^2\\)\\(-4px=0\\)<\/p>\n<p>\\(m^2x^2-(2m^2x_1-2my_1+4p)x\\)\\(+m^2x_1^2-2mx_1y_1\\)\\(+y_1^2\\)\\(=0\\)<\/p>\n<p>\u4e00\u3064\u306e\u63a5\u70b9\u304c\u3042\u308b\u305f\u3081\u3001\u653e\u7269\u7dda\u3068\u76f4\u7dda\u306f\u91cd\u89e3\u3092\u3082\u3061\u307e\u3059\u3002\u89e3\u306e\u516c\u5f0f\u3067\\(\\sqrt{b^2-4ac}\\)\u306e\u90e8\u5206\u304c\u30bc\u30ed\u306b\u306a\u308b\u305f\u3081\u3001\u89e3\u306e\u516c\u5f0f\u3092\u5229\u7528\u3057\u3066\u4ee5\u4e0b\u306e\u3088\u3046\u306b\\(x\\)\u306e\u89e3\u3092\u5f97\u307e\u3057\u3087\u3046\u3002<\/p>\n<ul>\n<li>\\(x=\\displaystyle\\frac{2m^2x_1-2my_1+4p}{2m^2}\\)<\/li>\n<\/ul>\n<p>\u306a\u304a\u63a5\u70b9\u3067\u91cd\u89e3\u3092\u3082\u3064\u305f\u3081\u3001\\(x=x_1\\)\u3067\u3059\u3002\u305d\u3053\u3067\u5148\u307b\u3069\u306e\u5f0f\u306b\\(x=x_1\\)\u3092\u4ee3\u5165\u3057\u3001\u50be\u304d\\(m\\)\u3092\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(x_1=\\displaystyle\\frac{2m^2x_1-2my_1+4p}{2m^2}\\)<\/p>\n<p>\\(2m^2x_1\\)\\(=2m^2x_1-2my_1+4p\\)<\/p>\n<p>\\(2my_1=4p\\)<\/p>\n<p>\\(m=\\displaystyle\\frac{2p}{y_1}\\)<\/p>\n<p>\u3053\u3046\u3057\u3066\u3001\u50be\u304d\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u3002\u305d\u3053\u3067\u76f4\u7dda\u306e\u65b9\u7a0b\u5f0f\\(y=m(x-x_1)+y_1\\)\u306b\u50be\u304d\u3092\u4ee3\u5165\u3059\u308b\u3068\u3001\u4ee5\u4e0b\u306e\u5f0f\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\\(y=\\displaystyle\\frac{2p}{y_1}(x-x_1)+y_1\\)<\/p>\n<p>\\(y_1y=2p(x-x_1)+y_1^2\\)<\/p>\n<p>\u306a\u304a\u653e\u7269\u7dda\u306e\u65b9\u7a0b\u5f0f\u3088\u308a\u3001\\(y^2=4px\\)\u3067\u3042\u308b\u305f\u3081\u3001\u63a5\u70b9\u306e\u5ea7\u6a19\\((x_1,y_1)\\)\u3092\u5229\u7528\u3059\u308b\u3068\u3001\\(y_1^2=4px_1\\)\u3068\u306a\u308a\u307e\u3059\u3002\u305d\u3053\u3067\u3001\u3053\u306e\u5f0f\u3092\u4ee3\u5165\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(y_1y=2p(x-x_1)+y_1^2\\)<\/p>\n<p>\\(y_1y=2p(x-x_1)+4px_1\\)<\/p>\n<p>\\(y_1y=2px-2px_1+4px_1\\)<\/p>\n<p>\\(y_1y=2p(x+x_1)\\)<\/p>\n<p>\u3053\u3046\u3057\u3066\u3001\u653e\u7269\u7dda\u306e\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u8a3c\u660e\u3067\u304d\u307e\u3057\u305f\u3002<\/p>\n<h3>\u6955\u5186\u3068\u53cc\u66f2\u7dda\u306e\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u8a3c\u660e\u3059\u308b<\/h3>\n<p>\u6b21\u306b\u3001\u6955\u5186\u306e\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u8a3c\u660e\u3057\u307e\u3057\u3087\u3046\u3002\u6955\u5186\u306e\u65b9\u7a0b\u5f0f\u306f\\(\\displaystyle\\frac{x^2}{a^2}+\\displaystyle\\frac{y^2}{b^2}=1\\)\u3067\u3059\u3002\u307e\u305f\u63a5\u70b9\u3092\\((x_1,y_1)\\)\u3068\u3059\u308b\u3068\u3001\u6c42\u3081\u308b\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u306f\\(y=m(x-x_1)+y_1\\)\u3067\u3059\u3002<\/p>\n<p>\u305d\u3053\u3067\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(\\displaystyle\\frac{x^2}{a^2}+\\displaystyle\\frac{y^2}{b^2}=1\\)<\/p>\n<p>\\(b^2x^2+a^2y^2=a^2b^2\\)<\/p>\n<p>\\(b^2x^2+a^2\\{m(x-x_1)+y_1\\}^2\\)\\(=a^2b^2\\)<\/p>\n<p>\\(b^2x^2+a^2m^2(x-x_1)^2\\)\\(+2a^2my_1(x-x_1)\\)\\(+a^2y_1^2\\)\\(=a^2b^2\\)<\/p>\n<p>\\(b^2x^2\\)\\(+a^2m^2(x^2-2xx_1+x_1^2)\\)\\(+2a^2my_1(x-x_1)\\)\\(+a^2y_1^2\\)\\(=a^2b^2\\)<\/p>\n<p>\\((b^2+a^2m^2)x^2\\)\\(+(-2a^2m^2x_1+2a^2my_1)x\\)\\(+a^2m^2x_1^2-2a^2mx_1y_1\\)\\(+a^2y_1^2\\)\\(-a^2b^2=0\\)<\/p>\n<p>\u3053\u306e\u5f0f\u304c\u91cd\u89e3\u3068\u306a\u308c\u3070\u3044\u3044\u305f\u3081\u3001\u5148\u307b\u3069\u3068\u540c\u69d8\u306b\u8a08\u7b97\u3059\u308b\u3068\u3001\\(x\\)\u306e\u89e3\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(x=\\displaystyle\\frac{2a^2m^2x_1-2a^2my_1}{2(b^2+a^2m^2)}\\)<\/li>\n<\/ul>\n<p>\u63a5\u70b9\u3067\u306f\\(x=x_1\\)\u3067\u3042\u308b\u305f\u3081\u3001\u3053\u306e\u5f0f\u306b\\(x=x_1\\)\u3092\u4ee3\u5165\u3057\u3066\u50be\u304d\u3092\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(x_1=\\displaystyle\\frac{2a^2m^2x_1-2a^2my_1}{2(b^2+a^2m^2)}\\)<\/p>\n<p>\\(2x_1(b^2+a^2m^2)=2a^2m^2x_1-2a^2my_1\\)<\/p>\n<p>\\(2x_1b^2=-2a^2my_1\\)<\/p>\n<p>\\(m=-\\displaystyle\\frac{b^2x_1}{a^2y_1}\\)<\/p>\n<p>\u305d\u3053\u3067\u3001\\(m=-\\displaystyle\\frac{b^2x_1}{a^2y_1}\\)\u3092\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u3078\u4ee3\u5165\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(y=m(x-x_1)+y_1\\)<\/p>\n<p>\\(y=-\\displaystyle\\frac{b^2x_1}{a^2y_1}(x-x_1)+y_1\\)<\/p>\n<p>\\(a^2y_1y=-b^2x_1(x-x_1)\\)\\(+a^2y_1^2\\)<\/p>\n<p>\\(a^2y_1y+b^2x_1x\\)\\(=a^2y_1^2+b^2x_1^2\\)<\/p>\n<p>\\(\\displaystyle\\frac{x_1x}{a^2}+\\displaystyle\\frac{y_1y}{b^2}=\\displaystyle\\frac{x_1^2}{a^2}+\\displaystyle\\frac{y_1^2}{b^2}\\)<\/p>\n<p>\u6955\u5186\u306e\u65b9\u7a0b\u5f0f\u3088\u308a\u3001\\(\\displaystyle\\frac{x^2}{a^2}+\\displaystyle\\frac{y^2}{b^2}=1\\)\u3067\u3042\u308a\u3001\u63a5\u70b9\u306e\u5ea7\u6a19\\((x_1,y_1)\\)\u3092\u4ee3\u5165\u3057\u3066\u3082\u3053\u306e\u65b9\u7a0b\u5f0f\u306f\u6210\u308a\u7acb\u3061\u307e\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u4ee5\u4e0b\u306e\u5f0f\u3092\u5f97\u3089\u308c\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(\\displaystyle\\frac{x_1x}{a^2}+\\displaystyle\\frac{y_1y}{b^2}=1\\)<\/li>\n<\/ul>\n<p>\u3053\u3046\u3057\u3066\u3001\u6955\u5186\u306e\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u8a3c\u660e\u3067\u304d\u307e\u3057\u305f\u3002\u306a\u304a<span style=\"color: #0000ff;\">\u53cc\u66f2\u7dda\u306e\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u306b\u3064\u3044\u3066\u306f\u3001\u4e00\u90e8\u306e\u7b26\u53f7\u304c\u5909\u308f\u308b\u3060\u3051\u3067\u3042\u308a\u3001\u540c\u3058\u8a08\u7b97\u65b9\u6cd5\u306b\u3088\u3063\u3066\u8a3c\u660e\u3067\u304d\u307e\u3059\u3002<\/span>\u6955\u5186\u306e\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u8a3c\u660e\u3067\u304d\u308b\u306e\u3067\u3042\u308c\u3070\u3001\u53cc\u66f2\u7dda\u306e\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u8a3c\u660e\u3067\u304d\u307e\u3059\u3002<\/p>\n<h2>\u6955\u5186\u306e\u5916\u5074\u304b\u3089\u63a5\u7dda\u3092\u5f15\u304f\u5834\u5408\u306e\u65b9\u7a0b\u5f0f<\/h2>\n<p>\u305d\u308c\u3067\u306f\u3001\u63a5\u7dda\u306b\u95a2\u3059\u308b\u516c\u5f0f\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u3067\u8a08\u7b97\u554f\u984c\u3092\u89e3\u3051\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3057\u3087\u3046\u3002\u4ee5\u4e0b\u306e\u554f\u984c\u306e\u7b54\u3048\u306f\u4f55\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<ul>\n<li>\u6955\u5186\\(\\displaystyle\\frac{x^2}{16}+\\displaystyle\\frac{y^2}{12}=1\\)\u306b\u5bfe\u3057\u3066\u3001\u70b9\\((4,6)\\)\u304b\u3089\u63a5\u7dda\u3092\u5f15\u304f\u3068\u304d\u306e\u5f0f\u3092\u6c42\u3081\u307e\u3057\u3087\u3046\u3002<\/li>\n<\/ul>\n<p>\u63a5\u70b9\u306e\u5ea7\u6a19\u3092\\((x_1,y_1)\\)\u3068\u3059\u308b\u3068\u3001\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u306f\u4ee5\u4e0b\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(\\displaystyle\\frac{x_1x}{16}+\\displaystyle\\frac{y_1y}{12}=1\\)<\/li>\n<\/ul>\n<p>\u3053\u306e\u76f4\u7dda\u306f\\((4,6)\\)\u3092\u901a\u308b\u305f\u3081\u3001\\(x=4\\)\u3068\\(y=6\\)\u3092\u4ee3\u5165\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(\\displaystyle\\frac{4x_1}{16}+\\displaystyle\\frac{6y_1}{12}=1\\)<\/p>\n<p>\\(\\displaystyle\\frac{x_1}{4}+\\displaystyle\\frac{y_1}{2}=1\\)<\/p>\n<p>\\(x_1+2y_1=4\\)<\/p>\n<p>\\(x_1=4-2y_1\\)<\/p>\n<p>\u307e\u305f\u63a5\u70b9\u306f\u6955\u5186\u4e0a\u306b\u5b58\u5728\u3059\u308b\u305f\u3081\u3001\\(\\displaystyle\\frac{x_1^2}{16}+\\displaystyle\\frac{y_1^2}{12}=1\\)\u3092\u6e80\u305f\u3057\u307e\u3059\u3002\u305d\u3053\u3067\u3001\\(x_1=4-2y_1\\)\u3092\u4ee3\u5165\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(\\displaystyle\\frac{x_1^2}{16}+\\displaystyle\\frac{y_1^2}{12}=1\\)<\/p>\n<p>\\(3x_1^2+4y_1^2=48\\)<\/p>\n<p>\\(3(4-2y_1)^2+4y_1^2=48\\)<\/p>\n<p>\\(3(16-16y_1+4y_1^2)\\)\\(+4y_1^2=48\\)<\/p>\n<p>\\(16y_1^2-48y_1=0\\)<\/p>\n<p>\\(y_1(y_1-3)=0\\)<\/p>\n<p>\\(y_1=0,3\\)<\/p>\n<p>\\(y_1=0\\)\u306e\u3068\u304d\u3001\\(x_1=4\\)\u3067\u3042\u308b\u305f\u3081\u3001\u63a5\u7dda\u306f\\(x=4\\)\u3067\u3059\u3002\u307e\u305f\\(y_1=3\\)\u306e\u3068\u304d\u3001\\(x_1=-2\\)\u3067\u3042\u308b\u305f\u3081\u3001\u63a5\u7dda\u306f\\(\\displaystyle\\frac{-2x}{16}+\\displaystyle\\frac{3y}{12}=1\\)\u3067\u3059\u3002<\/p>\n<p>\\(\\displaystyle\\frac{-2x}{16}+\\displaystyle\\frac{3y}{12}=1\\)<\/p>\n<p>\\(\\displaystyle\\frac{-x}{8}+\\displaystyle\\frac{y}{4}=1\\)<\/p>\n<p>\\(-x+2y=8\\)<\/p>\n<p>\u3053\u3046\u3057\u3066\\(x=4\\)\u306b\u52a0\u3048\u3066\u3001\u3082\u3046\u4e00\u3064\u306e\u63a5\u7dda\\(-x+2y=8\\)\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u3002<\/p>\n<h3>\u4e8c\u6b21\u66f2\u7dda\u306e\u63a5\u7dda\u3068\u8a3c\u660e\u554f\u984c<\/h3>\n<p>\u6b21\u306b\u3001\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u3067\u8a3c\u660e\u554f\u984c\u3092\u89e3\u304d\u307e\u3057\u3087\u3046\u3002\u4ee5\u4e0b\u306e\u554f\u984c\u306e\u7b54\u3048\u306f\u4f55\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<ul>\n<li>\u653e\u7269\u7dda\\(y^2=4px\\)\uff08\\(p&gt;0\\)\uff09\u306e\u4e0a\u306b\u70b9Q\\((x_1,y_1)\\)\u304c\u3042\u308a\u307e\u3059\u3002\u70b9Q\u3067\u306e\u63a5\u7dda\u3068\\(x\\)\u8ef8\u3068\u306e\u4ea4\u70b9\u3092A\u3001\u653e\u7269\u7dda\u306e\u7126\u70b9\u3092F\\((p,0)\\)\u3068\u3057\u307e\u3059\u3002\u3053\u306e\u5834\u5408\u3001\\(\u2220QAF=\u2220AQF\\)\u306b\u306a\u308b\u3068\u8a3c\u660e\u3057\u307e\u3057\u3087\u3046\u3002\u306a\u304a\\(x_1&gt;0\\)\u3001\\(y_1&gt;0\\)\u3067\u3059\u3002<\/li>\n<\/ul>\n<p>\u56f3\u3092\u4f5c\u308b\u3068\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2023\/01\/rdd1.jpg\" alt=\"\" width=\"296\" height=\"227\" class=\"aligncenter size-full wp-image-12471\" \/><\/p>\n<p><span style=\"color: #0000ff;\">2\u3064\u306e\u89d2\u5ea6\u304c\u7b49\u3057\u3044\u5834\u5408\u3001\u4e8c\u7b49\u8fba\u4e09\u89d2\u5f62\u3092\u4f5c\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/span>\u305d\u306e\u305f\u3081\\(\u2220QAF=\u2220AQF\\)\u306e\u5834\u5408\u3001\\(AF=QF\\)\u3068\u306a\u308a\u307e\u3059\u3002\u305d\u3053\u3067\\(AF=QF\\)\u3092\u793a\u3059\u3053\u3068\u306b\u3088\u3063\u3066\\(\u2220QAF=\u2220AQF\\)\u3092\u8a3c\u660e\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u70b9A\u306f\\(x\\)\u8ef8\u4e0a\u306b\u5b58\u5728\u3059\u308b\u305f\u3081\u3001\\(y=0\\)\u3067\u3059\u3002\u307e\u305f\u3001\u70b9Q\u3067\u306e\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u306f\\(y_1y=2p(x+x_1)\\)\u3067\u3059\u3002\u70b9A\u306f\u63a5\u7dda\u4e0a\u306b\u5b58\u5728\u3059\u308b\u305f\u3081\u3001\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u306b\\(y=0\\)\u3092\u4ee3\u5165\u3057\u3066\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(0=2p(x+x_1)\\)<\/p>\n<p>\\(x=-x_1\\)<\/p>\n<p>\u3053\u3046\u3057\u3066\u3001\u70b9A\u306e\u5ea7\u6a19\u306f\\((-x_1,0)\\)\u3068\u308f\u304b\u308a\u307e\u3059\u3002\u3064\u307e\u308a\u3001AF\u306e\u9577\u3055\u306f\\(p+x_1\\)\u3067\u3059\u3002\u6b21\u306b\u3001QF\u306e\u9577\u3055\u3092\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(QF=\\sqrt{(x_1-p)^2+y_1^2}\\)<\/p>\n<p>\\(QF=\\sqrt{(x_1-p)^2+4px_1}\\)<\/p>\n<p>\\(QF=\\sqrt{(x_1+p)^2}\\)<\/p>\n<p>\\(QF=x_1+p\\)<\/p>\n<p>\\(AF=QF\\)\u3067\u3042\u308b\u305f\u3081\u3001\u25b3AFQ\u306f\u4e8c\u7b49\u8fba\u4e09\u89d2\u5f62\u3067\u3059\u3002\u3053\u3046\u3057\u3066\u3001\\(\u2220QAF=\u2220AQF\\)\u306b\u306a\u308b\u3068\u8a3c\u660e\u3067\u304d\u307e\u3057\u305f\u3002<\/p>\n<h2>\u653e\u7269\u7dda\u3001\u6955\u5186\u3001\u53cc\u66f2\u7dda\u3068\u63a5\u7dda\u306e\u516c\u5f0f\u3092\u5b66\u3076<\/h2>\n<p>\u63a5\u7dda\u3092\u5229\u7528\u3057\u3066\u56f3\u5f62\u306e\u554f\u984c\u3092\u89e3\u304b\u306a\u3051\u308c\u3070\u3044\u3051\u306a\u3044\u30b1\u30fc\u30b9\u306f\u591a\u3044\u3067\u3059\u3002\u305d\u3053\u3067\u653e\u7269\u7dda\u3001\u6955\u5186\u3001\u53cc\u66f2\u7dda\u306b\u3064\u3044\u3066\u3001\u63a5\u7dda\u306e\u516c\u5f0f\u3092\u5229\u7528\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u3053\u306e\u3068\u304d\u3001\u63a5\u7dda\u306e\u516c\u5f0f\u3092\u5c0e\u51fa\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3057\u3087\u3046\u3002\u50be\u304d\\(m\\)\u3068\u76f4\u7dda\u306e\u65b9\u7a0b\u5f0f\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u306b\u3088\u308a\u3001\u63a5\u7dda\u306e\u516c\u5f0f\u3092\u8a3c\u660e\u3067\u304d\u307e\u3059\u3002\u306a\u304a\u653e\u7269\u7dda\u306e\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u306f\u899a\u3048\u308b\u5fc5\u8981\u304c\u3042\u308b\u3082\u306e\u306e\u3001\u6955\u5186\u3068\u53cc\u66f2\u7dda\u306e\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u306f\u5186\u306e\u63a5\u7dda\u306e\u65b9\u7a0b\u5f0f\u3068\u4f3c\u3066\u3044\u308b\u305f\u3081\u3001\u899a\u3048\u308b\u5fc5\u8981\u306f\u3042\u308a\u307e\u305b\u3093\u3002<\/p>\n<p>\u306a\u304a\u63a5\u7dda\u3092\u5f97\u308b\u516c\u5f0f\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u306b\u3088\u308a\u3001\u8a08\u7b97\u554f\u984c\u3092\u89e3\u3051\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3057\u3087\u3046\u3002\u8a08\u7b97\u65b9\u6cd5\u306f\u4e8c\u6b21\u95a2\u6570\u3084\u5186\u3068\u540c\u3058\u3067\u3042\u308b\u305f\u3081\u3001\u3053\u308c\u3089\u306e\u554f\u984c\u3092\u89e3\u3051\u308b\u5834\u5408\u306f\u96e3\u3057\u304f\u3042\u308a\u307e\u305b\u3093\u3002<\/p>\n<p>\u65b0\u305f\u306a\u516c\u5f0f\u3092\u899a\u3048\u308b\u5fc5\u8981\u306f\u3042\u308b\u3082\u306e\u306e\u3001\u63a5\u7dda\u3092\u5f97\u308b\u516c\u5f0f\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u306b\u3088\u308a\u3001\u4e8c\u6b21\u66f2\u7dda\u3067\u63a5\u7dda\u3092\u7528\u3044\u3066\u8a08\u7b97\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002\u63a5\u7dda\u3092\u7528\u3044\u308b\u3053\u3068\u306b\u3088\u308a\u3001\u8a08\u7b97\u554f\u984c\u3092\u89e3\u3051\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3057\u3087\u3046\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u66f2\u7dda\u3092\u53d6\u308a\u6271\u3046\u3068\u304d\u3001\u63a5\u7dda\u3092\u5229\u7528\u3059\u308b\u30b1\u30fc\u30b9\u306f\u591a\u3044\u3067\u3059\u3002\u4e8c\u6b21\u66f2\u7dda\uff08\u653e\u7269\u7dda\u3001\u6955\u5186\u3001\u53cc\u66f2\u7dda\uff09\u306b\u3064\u3044\u3066\u3082\u3001\u63a5\u7dda\u3092\u5f97\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u8a08\u7b97\u554f\u984c\u3092\u89e3\u3051\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002 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